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Fisher and Shannon information in orbital‐free density functional theory
Author(s) -
Nagy Ágnes
Publication year - 2015
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.24812
Subject(s) - fisher information , information theory , euler's formula , mathematics , density functional theory , physics , statistical physics , quantum mechanics , mathematical analysis , statistics
The Euler equation of the orbital‐free density functional theory is formulated with the specific Shannon and Fisher information. One of the new forms contains only the specific Shannon information. In spherically symmetric systems, the Euler equation can be formalized with the specific Fisher information only. Both the Fisher information and the length of the local wave vector are descriptors of the spherically symmetric Coulomb systems. © 2014 Wiley Periodicals, Inc.